SB Block D 2/may/2010 Big Idea: Negative numbers help us model many real world situations. Essential question: How do I multiply and divide integers? Notes: 1. Equations are comparisons of numbers with an equal sign in it.
2. Linear equations have numbers missing we replace those missing numbers with variables.
3. Linear equations on a graph are straight lines.
A. On paper, make a table of x and y values for the equation Y=3x+2
x
y
1
5
2
8
3
11
4
14
B. On grid paper, sketch a graph of y=3x+2
C. Enter the equation y=3x+2 into your graphing calculator, and press GRAPY. Make a sketch of the graph you see. How does this graph compare with the graph you drew by hand?
D. If you press WINDOW, you will see a screen that allows you to change the section of the graph displayed in the window. Change the settings to those shown in “Window Settings 1” on the previous page, and then press GRAPH to see the graph of y= 3x+2
1)Make a sketch of the graph you see. 2)How does this graph compare with the graph you drew by hand in part B? The screen size is different. The size of the previous is bigger. This one is zoomed into the graph and the variables and the linear line. 3)How does this graph compare with the graph you made with your calculator in part C? This graph is way more zoomed in then the previous one. In this graph you can see the line more clearly. Everything is clearer. 4)Explain what you think each entry on the “windows settings 1” screen means. I think the windows settings one means the size of the graph and how zoomed in it is. The perimeter of the square that the graph is going to show in.
E. On paper, make a table of x and y values for the equation y=2x
x
Y
1
2
2
4
3
6
4
8
F. On grid paper, sketch a graph of y=2x
G Enter the equation y=2x into your graphing calculator, and press GRAPH. Make a sketch of the graph you see.
H. Change the window settings to those shown in “Windows Settings 2” on the previous page, and then press GRAPH to see the graph of y=2x in the new window. 1)Make a sketch of the graph you see. 2)How does this graph compare with the graph you drew by hand in part F This graph is more zoomed out. You can see almost the whole view of the graph and the line is clearer.
3)How does this graph compare with the graph you made with your calculator in part G? This graph is more zoomed out. You can see the whole thing and this is more spread out then the previous one. 4)Explain what you think each entry on the “Windows Settings 2” screen means. I think each of them mean the perimeter and the outside of the graph. The space the graph is in. It shows how big the graph will be.
Problem 5.4 Follow-up
1.In part D of problem 5.4, what happened to the coordinate grid on your calculator when you changed the window settings? Why? When I changed the window settings the size of the graph increased or decreased. This is because the windows setting decides how big the graph is going to be and at what scale. This is why the graphs changed.
2.Change the window settings so that only quadrant 3 of the coordinate grid is displayed. Record the windows setting you used. XMI= -5
XMA=7
XSVL=1
YMIN=-5
YMAX=10
YSCL=1
3.Graph y=2x in this new window. Make a sketch of the graph you see.
4.Except for the point (0,0), which quadrants contain none of the points on the graph of y=2x? Any quadrant that has a y axis that is not two times the value of x is contains non of the points on the graph. 5.Which windows settings would you use to display only quadrant 2? Quadrant 4? Quadrant 2: Quadrant 4:
XMIN: 2 XMIN:4
XMAX:0 XMAX:0
XSCL:2 XCSL:2
YMIN:2 YMIN:4
YMAX:0 YMAX:0
YSCL:2 YSCL:2
SB
Block D
2/may/2010
Big Idea: Negative numbers help us model many real world situations.
Essential question: How do I multiply and divide integers?
Notes: 1. Equations are comparisons of numbers with an equal sign in it.
2. Linear equations have numbers missing we replace those missing numbers with variables.
3. Linear equations on a graph are straight lines.
A. On paper, make a table of x and y values for the equation Y=3x+2
B. On grid paper, sketch a graph of y=3x+2
C. Enter the equation y=3x+2 into your graphing calculator, and press GRAPY. Make a sketch of the graph you see. How does this graph compare with the graph you drew by hand?
D. If you press WINDOW, you will see a screen that allows you to change the section of the graph displayed in the window. Change the settings to those shown in “Window Settings 1” on the previous page, and then press GRAPH to see the graph of y= 3x+2
1) Make a sketch of the graph you see.
2) How does this graph compare with the graph you drew by hand in part B?
The screen size is different. The size of the previous is bigger. This one is zoomed into the graph and the variables and the linear line.
3) How does this graph compare with the graph you made with your calculator in part C?
This graph is way more zoomed in then the previous one. In this graph you can see the line more clearly. Everything is clearer.
4) Explain what you think each entry on the “windows settings 1” screen means.
I think the windows settings one means the size of the graph and how zoomed in it is. The perimeter of the square that the graph is going to show in.
E. On paper, make a table of x and y values for the equation y=2x
F. On grid paper, sketch a graph of y=2x
G Enter the equation y=2x into your graphing calculator, and press GRAPH. Make a sketch of the graph you see.
H. Change the window settings to those shown in “Windows Settings 2” on the previous page, and then press GRAPH to see the graph of y=2x in the new window.
1) Make a sketch of the graph you see.
2) How does this graph compare with the graph you drew by hand in part F
This graph is more zoomed out. You can see almost the whole view of the graph and the line is clearer.
3) How does this graph compare with the graph you made with your calculator in part G?
This graph is more zoomed out. You can see the whole thing and this is more spread out then the previous one.
4) Explain what you think each entry on the “Windows Settings 2” screen means.
I think each of them mean the perimeter and the outside of the graph. The space the graph is in. It shows how big the graph will be.
Problem 5.4 Follow-up
1. In part D of problem 5.4, what happened to the coordinate grid on your calculator when you changed the window settings? Why?
When I changed the window settings the size of the graph increased or decreased. This is because the windows setting decides how big the graph is going to be and at what scale. This is why the graphs changed.
2. Change the window settings so that only quadrant 3 of the coordinate grid is displayed. Record the windows setting you used.
XMI= -5
XMA=7
XSVL=1
YMIN=-5
YMAX=10
YSCL=1
3. Graph y=2x in this new window. Make a sketch of the graph you see.
4. Except for the point (0,0), which quadrants contain none of the points on the graph of y=2x?
Any quadrant that has a y axis that is not two times the value of x is contains non of the points on the graph.
5. Which windows settings would you use to display only quadrant 2? Quadrant 4?
Quadrant 2: Quadrant 4:
XMIN: 2 XMIN:4
XMAX:0 XMAX:0
XSCL:2 XCSL:2
YMIN:2 YMIN:4
YMAX:0 YMAX:0
YSCL:2 YSCL:2